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4 years ago

What is the definition of standard form?

Mathematics

1 answer:

Dennis_Churaev [7]4 years ago

8 0

a way of writing down very large or very small numbers easily.

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What is the mathematical induction of <br> 1+3+5+...+(2n-1)=n^2

Lena [83]

Let $S(n)$ be the statement that

$1+3+5+\cdots+(2n-1)=\displaystyle\sum_{k=1}^n(2k-1)=n^2$

Check to see that $S(n)$ holds for $n=1$ :

$\displaystyle\sum_{k=1}^1(2k-1)=1=1^2\implies S(1)\text{ is true}$

Now suppose that $S(N)$ is true, and use that assumption to show that $S(N+1)$ must also be true. When $n=N+1$ , you have

$\displaystyle\sum_{k=1}^{N+1}(2k-1)=\sum_{k=1}^N(2k-1)+2(N+1)-1$
$=N^2+2(N+1)-1$
$=N^2+2N+1$
$=(N+1)^2$

and so $S(N+1)$ is also true, thus proving the statement is true for all $n$ .

6 0

3 years ago

pls help i have been doing this for 5 hours i will mark brainliest PLEASE I JUST NEED THE RIGHT ANSWER

jenyasd209 [6]

Answer:

$p = 7$

Step-by-step explanation:

So the key is that a line has a measure of 180 degrees. Notice the square between the rays. That is a 90-degree angle. So let's add this up and see what's going on

$(5p + 2) + 90 + (7p + 4) = 180$

$12p + 96 = 180$

$12p = 84$

$p = 7$

6 0

3 years ago

Read 2 more answers

Suppose that 23% of people own dogs If you pick two people at random, what

mojhsa [17]

Answer:

The correct answer is - 0.0529 or 5.29%

Step-by-step explanation:

Given:

The people own dogs = 23%

total population = infinite

Solution:

if you choose a random person, the probability that they own a dog

= 23% or 0.23.

If you pick two people at random then the probability would be:

P(Both the people own dogs) = P(first person own dogs)*P(second person own dogs)

So the probability is as calculated:

P(Both the people own dogs)

= 0.23*0.23

= 0.0529 or 5.29%

8 0

3 years ago

Help asap solve the question indices

Mice21 [21]

The answer would be ~-2~

Hope this helps

Have a great day/night

Feel free to ask any questions

5 0

3 years ago

In the 1800s, wagon trains traveled west along the oregon trail. A wagon train traveled from missouri to wyoming in 1 2/3 months

strojnjashka [21]

Answer: 2 4/15 months

Step-by-step explanation:

From the question, we are informed that a wagon train traveled from Missouri to Wyoming in 1 2/3 months and from Wyoming to Utah in 3/5 month.

The number of months that it will take the wagon train to travel from Missouri to Utah will be:

= 1 2/3 + 3/5

The common lowest multiple is 15

= 1 10/15 + 9/15

= 1 19/15

= 1 + 1 4/15

= 2 4/15 months

It will take they train 2 4/15 months to travel from Missouri to Utah.

7 0

3 years ago